(x-4)(x+5)(x+10)(x-2)=18x^2

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Solution for (x-4)(x+5)(x+10)(x-2)=18x^2 equation: 


Simplifying
(x + -4)(x + 5)(x + 10)(x + -2) = 18x2

Reorder the terms:
(-4 + x)(x + 5)(x + 10)(x + -2) = 18x2

Reorder the terms:
(-4 + x)(5 + x)(x + 10)(x + -2) = 18x2

Reorder the terms:
(-4 + x)(5 + x)(10 + x)(x + -2) = 18x2

Reorder the terms:
(-4 + x)(5 + x)(10 + x)(-2 + x) = 18x2

Multiply (-4 + x) * (5 + x)
(-4(5 + x) + x(5 + x))(10 + x)(-2 + x) = 18x2
((5 * -4 + x * -4) + x(5 + x))(10 + x)(-2 + x) = 18x2
((-20 + -4x) + x(5 + x))(10 + x)(-2 + x) = 18x2
(-20 + -4x + (5 * x + x * x))(10 + x)(-2 + x) = 18x2
(-20 + -4x + (5x + x2))(10 + x)(-2 + x) = 18x2

Combine like terms: -4x + 5x = 1x
(-20 + 1x + x2)(10 + x)(-2 + x) = 18x2

Multiply (-20 + 1x + x2) * (10 + x)
(-20(10 + x) + 1x * (10 + x) + x2(10 + x))(-2 + x) = 18x2
((10 * -20 + x * -20) + 1x * (10 + x) + x2(10 + x))(-2 + x) = 18x2
((-200 + -20x) + 1x * (10 + x) + x2(10 + x))(-2 + x) = 18x2
(-200 + -20x + (10 * 1x + x * 1x) + x2(10 + x))(-2 + x) = 18x2
(-200 + -20x + (10x + 1x2) + x2(10 + x))(-2 + x) = 18x2
(-200 + -20x + 10x + 1x2 + (10 * x2 + x * x2))(-2 + x) = 18x2
(-200 + -20x + 10x + 1x2 + (10x2 + x3))(-2 + x) = 18x2

Combine like terms: -20x + 10x = -10x
(-200 + -10x + 1x2 + 10x2 + x3)(-2 + x) = 18x2

Combine like terms: 1x2 + 10x2 = 11x2
(-200 + -10x + 11x2 + x3)(-2 + x) = 18x2

Multiply (-200 + -10x + 11x2 + x3) * (-2 + x)
(-200(-2 + x) + -10x * (-2 + x) + 11x2 * (-2 + x) + x3(-2 + x)) = 18x2
((-2 * -200 + x * -200) + -10x * (-2 + x) + 11x2 * (-2 + x) + x3(-2 + x)) = 18x2
((400 + -200x) + -10x * (-2 + x) + 11x2 * (-2 + x) + x3(-2 + x)) = 18x2
(400 + -200x + (-2 * -10x + x * -10x) + 11x2 * (-2 + x) + x3(-2 + x)) = 18x2
(400 + -200x + (20x + -10x2) + 11x2 * (-2 + x) + x3(-2 + x)) = 18x2
(400 + -200x + 20x + -10x2 + (-2 * 11x2 + x * 11x2) + x3(-2 + x)) = 18x2
(400 + -200x + 20x + -10x2 + (-22x2 + 11x3) + x3(-2 + x)) = 18x2
(400 + -200x + 20x + -10x2 + -22x2 + 11x3 + (-2 * x3 + x * x3)) = 18x2
(400 + -200x + 20x + -10x2 + -22x2 + 11x3 + (-2x3 + x4)) = 18x2

Combine like terms: -200x + 20x = -180x
(400 + -180x + -10x2 + -22x2 + 11x3 + -2x3 + x4) = 18x2

Combine like terms: -10x2 + -22x2 = -32x2
(400 + -180x + -32x2 + 11x3 + -2x3 + x4) = 18x2

Combine like terms: 11x3 + -2x3 = 9x3
(400 + -180x + -32x2 + 9x3 + x4) = 18x2

Solving
400 + -180x + -32x2 + 9x3 + x4 = 18x2

Solving for variable 'x'.

Reorder the terms:
400 + -180x + -32x2 + -18x2 + 9x3 + x4 = 18x2 + -18x2

Combine like terms: -32x2 + -18x2 = -50x2
400 + -180x + -50x2 + 9x3 + x4 = 18x2 + -18x2

Combine like terms: 18x2 + -18x2 = 0
400 + -180x + -50x2 + 9x3 + x4 = 0

The solution to this equation could not be determined.

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